Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500 tickets. There is one $2,000 grand prize, three $300 second prizes, and eleven $40 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Answer:
-$2.32
Step-by-step explanation:
Give that
The selling price per ticket is $9
And the number of tickets sold is 500
So,
There is one grand prize, three $300 second prize, and eleven $40 third prizes
We need to find out the expected value of the profit
[tex]= \frac{1}{500} \times 2000 + \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\[/tex]
= 4 + 1.8 + 0.88
= 6.68
Now the expected profit is
= $6.68 - $9
= -$2.32
Which BEST describes the construction of a triangle if given the segment lengths of 10cm, 5 cm, and 4 cm? Unique Triangle, cannot be determined, triangle not possible, more than one triangle
Answer:
Step-by-step explanation:
a, b, c
a + b > c ; b + c > a ; a + c > b
5 + 4 < 10 ⇒ triangle not possible
Answer:
Triangle not possible.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.
5 + 4 = 9
9 cm is not longer than 10 cm.
10 > 9
Therefore, the triangle is not possible..
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure? (In other words, try and map the red figure on the blue figure).
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answer:
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.Step-by-step explanation:
Easy way to take one of the vertices and apply the transformations1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
False2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
True(-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
False4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
FalseFour friends share 3 sheets olenstruction paper equall. What fraction ola sheet of paper does each friend gei?
Answer:
0.75 .......................
PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!!
Answer:
AC = 7.8 cm
Step-by-step explanation:
AE² = 6² - 3² = 36 - 9 = 27
AE = √27 = 5.196
EC² = 4²- 3² = 16 - 9 = 7
EC = √7 = 2.646
AC = 5.196 + 2.646 = 7.84 cm
HELPPP What is the percent of change from 0.36 to 1.19?
Answer:
330.555556%
Step-by-step explanation:
1.19/.36=3.3305555555555555555555555555
therefore it is 330.5555%
A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer: Base and Height
Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2
which pair of words is the ODD one out. A. sister-brother, B. wife-husband, C. teacher-student or D. princess-prince
What is the answer
Answer:
C. teacher-student
Step-by-step explanation:
the pattern is girl, boy, girl boy, and teacher and student don't have a gender connection
HELPPPP PLZ
Ben ordered a shipping container so he could ship a model car to Europe.
The container is in the shape of a rectangular prism
WHAT IS THE VOLUME OR COMAPSITY
Answer:
The shipping container's volume is 24 cubic feet.
Step-by-step explanation:
Being a rectangular box, you can find the volume of it by multiplying its length, width, and height together.
We're given the dimensions 4' x 2' x 3'. If we multiply those we get (4 × 2 × 3)', or 24 cubic feet. The box then has a volume of 24 cubic feet.
anybody want points
1-10=
Answer:
-9
Step-by-step explanation:
There.
hope this helps
Answer:
-9
Step-by-step explanation:
thanks lol, you subtract 10 from one. but could you actually help with mine? A bag contains 2 yellow, 12 red, and 6 green marbles. What is the probability of selecting a red marble, not replacing it, then selecting another red marble
Please help me in this hurry
Answer:
450
Step-by-step explanation:
Area of the base: 1/2(5+7.5)(6)
1/2(75)= 37.5
Volume= Area of the base* height
37.5(12)= 450
Find the arc length of the following problem:
Answer:
[tex]61.261 {ft}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times 2\pi \: r \\ \frac{270}{360} \times 2 \times \pi \times 13 \\ = 61.261 {ft}^{2} [/tex]
Can I have the brainliest please?Oridinary interest method to find the rate of interest that make over photo pays on a loan of $8,000 for 285 days. If the amount of interest is $590.
Answer:
The correct answer is "9.3%".
Step-by-step explanation:
The given values are:
Amount of interest,
= $590
Principle,
= $8,000
Time:
= 285
Let the interest rate will be "x".
Now,
⇒ [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]
On substituting the values, we get
⇒ [tex]590=8000\times x\times \frac{285}{360}[/tex]
⇒ [tex]590=6333.33\times x[/tex]
⇒ [tex]x=\frac{590}{6333.33}[/tex]
⇒ [tex]=9.3157 \ percent[/tex]
or,
⇒ [tex]=9.3[/tex]%
Answer choices
15
18
20
30
Please help no links I will report
Answer:
18 people.
Step-by-step explanation:
thirty percent of 60 is 18
This week Andres will practice with his band for 1 1\2 hours Monday, 1 3\4 hours on Tuesday, and 2 hours Wednesday. Next week Andre will practice with his band for the same number of hours on Monday Tuesday Wednesday. What was the total number of hours Andre will practice with his band over these 6 days?
A: 5 1/4 hours
B: 10 1/2 hours
C: 4 1/4 hours
D: 8 1/2 hours
Answer:
Step-by-step explanation:
Find the x- and y-intercepts of the parabola y=−x2+4x−4.
Answer:
Hope This Helps!
Step-by-step explanation:
PLEASE HELP FAST AND THANK YOU! AND NO LINKS!
Can 60°, 60°, 60° be the measures of an acute isosceles triangle?
Answer:
Yes
Step-by-step explanation:
Triangle angles have to add up to 180
Answer:
No
Step-by-step explanation:
isosceles triangle have two equal angle and one unequal angle.
the above triangle would be an acute equilateral triangle
A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. To test this claim, the scientist obtained data from two random samples of voters categorized into two age-groups, older and younger. The null hypothesis was that there was no difference in the proportions of voters in the two age-groups who would be affected by negative ads. The alternative hypothesis was that the proportion of younger voters affected would be greater than the proportion of older voters affected.
Assuming all conditions for inference were met, the scientist conducted the test at a significance level of α=0.05α=0.05. The resulting pp-value was 0.206. Which of the following is the correct decision for the test?
a. The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters
b. The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
c. The pp-value is greater than αα, and the null hypothesis is not rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
d. The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
e. The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
Answer:
E
Step-by-step explanation:
Since the pp-value exceeds, the null hypothesis is not ruled out. The argument that younger voters are more impacted by negative advertisements than older ones is supported by compelling evidence. The correct option is C.
How to get the null Hypothesis?The null hypothesis is accepted as the P value is greater than the significant level.
Given :
Percentage older voters = po
Percentage younger voters = py
H0: po = pL
Ha: py > pL
Pvalue = 0.206; α = 0.05
Decision Region :
If Pvalue > α ; We can not reject H0
In the scenario above,
P value> α ; 0.206 < 0.05; Hence, we can not reject the Null.
To know more about the null Hypothesis follow
https://brainly.com/question/13135308
#SPJ6
Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate Value
Theorem guarantees a zero exists between 0 and a?
Answer:
here the smallest positive no be (0,-14)
Step-by-step explanation:
The computation is shown below:
Here we put the value of x as 0, 1,2, 3
And solve the polynomial
Given that
-4x^2 + 5x + 7
Now
x = 0
So,
= -4(0)^2 + 5(0) + 7
= 0 + 0 + 7
= 7>0
x = 1
= -4(1)^2 + 5(1) + 7
= -4 + 5 + 7
= 8>0
x = 2
= -4(2)^2 + 5(2) + 7
= -16 + 17
= 1>0
x = 3
= -4(3)^2 + 5(3) + 7
= -36 + 15 + 7
= -14>0
So, here the smallest positive no be (0,-14)
Expand and simplify 3(C - 2d) - 2(2C - 3d).
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d).
Distribute
3C - 6d - 4C +6d
Combine like terms
3C -4C -6d +6d
-C
Answer:
-C
Step-by-step explanation:
3(C - 2d) - 2(2C - 3d) =
= 3C - 6d - 4C + 6d
= 3C - 4C - 6d + 6d
= -C
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
I need help with this problem but just for v
I need to know both it's component form and polar form and<-3,2> is wrong.
9514 1404 393
Answer:
v = <-5, 1> ≈ <5.09902, 168.69°>
Step-by-step explanation:
Vector u has its tail at the origin, so the coordinates of its head give you the components of the vector. To find the components of vector v, you can translate it so its tail is at the origin, or you can simply subtract the tail coordinates from the head coordinates.
v = <1, -2> -<6, -3> = <1-6, -2-(-3)>
v = <-5, 1>
As you know, the magnitude is the root of the sum of the squares of the components:
|v| = √(5²+1²) = √26 ≈ 5.09902
The tangent of the angle is the ratio of y to x coordinates. When using the arctangent function, the quadrant needs to be taken into account.
∠v = arctan(1/-5) ≈ 168.69°
Vector v is ...
v = <-5, 1> ≈ <5.09902, 168.69°>
Consider harmonic oscillators with mass m, spring constant k, and damping coefficient b. For the values specified,
a. write the second-order differential equation and the corresponding first-order system.
b. find the eigenvalues and eigenvectors of the linear system.
c. classify the oscillator (as underdamped, overdamped, critically damped, or undamped) and, when appropriate, give the natural period.
d. sketch the phase portrait of the associated linear system and include the solution curve for the given initial condition.
Answer:
a) attached below
b) Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
c) since the Oscillator is > 0 hence it is Overdamped
Step-by-step explanation:
Lets take : m = 2 , k = 1 and b = 3
a) Second -order differential equation and the first order system
attached below
b) determine the eigenvalues and eigenvectors of the Linear system
Eigen values : λ1 = -1 and λ2 = - 1/2
Eigenvector : V1 = - y1 and V2 = ( - 1/2 ) y2
attached below is the detailed solution
c) The oscillator is classified as OVERDAMPED
To determine if the oscillator is damped, underdamped, or overdamped we will apply the relation below
b^2 - 4km
( 3 )^2 - 4(1)(2) = 1
since the Oscillator is > 0 hence it is Overdamped
d) Attached below is the phase portrait of the associated linear system
y(0) = 0
v(0) = 0
Does this horizontal line have a slope? Explain pls.
picture is included and if you answer there is 2 questions!
Find the perimeter and area of the kite. pls
The smaller the sample, the less variability we will see. True or false
Answer: Hewo, there! your answer is Below
False would be my answer
Step-by-step explanation:
As the sample sizes increase, the variability of each sampling distribution decreases so that they become increasingly more leptokurtic. The range of the sampling distribution is smaller than the range of the original population.
Hope this helps you!!
Have a great day!!!
Ryan is working on his first budget. Ryan's take home pay is $2,500 each month. Ryan spends $800, $450 on food, $125 on utilities, his car payment is $325 and he spends $125 on gas. What percent of his income does Ryan spend on transportation each month?
Answer: 25%
Step-by-step explanation: your welcome
Check the pic please
With steps please
Answer:
Angle BOD = 75⁰
Step-by-step explanation:
Answer attached...
Hope it helps :)
What percentage of the shape is green?
Answer:
86 %
Step-by-step explanation:
Total no. of squares = 50
No. of green squares = 43
Percentage of green squares = (43/50) x 100%
Percentage = 86%
0.3(3a-4)-0.05(8a)(-7a)
Answer:
2.8a²+0.9a - 1.2
Step-by-step explanation:
Given the expression 0.3(3a-4)-0.05(8a)(-7a)
Expand using the distributive law
0.3(3a-4)-0.05(8a)(-7a)
0.3(3a)-0.3(4)-0.05(8a)(-7a)
0.9a-1.2 - 0.05(8a)(-7a)
0.9a - 1.2 + 2.8a²
Rearrange
2.8a²+0.9a - 1.2
Hence the required expression is 2.8a²+0.9a - 1.2